An LMI condition for asymptotic stability of discrete-time system based on quadratic difference forms

被引：0
|
作者：
Kojima, Chiaki [1 ]
Takaba, Kiyotsugu [1 ]
机构：
[1] Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Kyoto 6068501, Japan
来源：
2006 IEEE CONFERENCE ON COMPUTER-AIDED CONTROL SYSTEM DESIGN, VOLS 1 AND 2 | 2006年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the stability analysis of a linear discrete-time system described by a high-order difference-algebraic equation. It is well known that, in the behavioral approach, a Lyapunov for a linear system is characterized in terms of a so-called quadratic difference form (QDF). For a discrete-time case, Kojima and Takaba (2005) derived a necessary and sufficient condition for the asymptotic stability in terms of the QDFs. On the basis of this QDF condition, we derive a numerically more tractable stability condition in terms of LMIs.
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页码：235 / +
页数：3
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